Data.Colour.RGB:hslsv from colour-2.3.3, C

Time bar (total: 5.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze18.0ms (0.3%)

Memory
7.1MiB live, 45.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
79.7%79.6%20.3%0.1%0%0%0%7
83.6%83.5%16.4%0.1%0%0%0%8
90.2%90.1%9.8%0.1%0%0%0%9
92%91.9%8%0.1%0%0%0%10
95.2%95.1%4.8%0.1%0%0%0%11
96%96%4%0.1%0%0%0%12
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample717.0ms (12.5%)

Memory
33.7MiB live, 1 425.2MiB allocated
Samples
437.0ms8 254×0valid
0.0ms2valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 220.0ms
ival-sub: 105.0ms (47.8% of total)
ival-div: 56.0ms (25.5% of total)
ival-add: 45.0ms (20.5% of total)
ival-true: 6.0ms (2.7% of total)
exact: 5.0ms (2.3% of total)
ival-assert: 3.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain73.0ms (1.3%)

Memory
-16.0MiB live, 183.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 2 binary64)
00-0-y
00-0-(-.f64 x y)
00-0-(+.f64 x y)
00-0-(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
00-0-(-.f64 #s(literal 2 binary64) (+.f64 x y))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
29.0ms512×0valid
Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sub: 5.0ms (38.2% of total)
ival-add: 4.0ms (30.5% of total)
ival-div: 3.0ms (22.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess87.0ms (1.5%)

Memory
6.9MiB live, 84.4MiB allocated
Algorithm
egg-herbie
Rules
464×lower-fma.f64
464×lower-fma.f32
312×unsub-neg
260×div-sub
226×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951
16647
216846
349445
4109545
5163245
6188545
7199145
8204945
9206245
079
0119
1219
2389
3799
41869
53469
66169
79049
89489
99649
109659
09659
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify28.0ms (0.5%)

Memory
-2.6MiB live, 35.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x y)
cost-diff0
(-.f64 #s(literal 2 binary64) (+.f64 x y))
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Rules
464×lower-fma.f64
464×lower-fma.f32
224×lower-*.f64
224×lower-*.f32
152×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
12123
23823
37923
418623
534623
661623
790423
894823
996423
1096523
096523
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(-.f64 x y)
x
y
(-.f64 #s(literal 2 binary64) (+.f64 x y))
#s(literal 2 binary64)
(+.f64 x y)
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))
(-.f64 x y)
x
y
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(-.f64 #s(literal 2 binary64) (+.f64 y x))
#s(literal 2 binary64)
(+.f64 x y)
(+.f64 y x)

localize27.0ms (0.5%)

Memory
-16.7MiB live, 61.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x y)
accuracy0
(+.f64 x y)
accuracy0.00390625
(-.f64 #s(literal 2 binary64) (+.f64 x y))
accuracy0.0234375
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Samples
16.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 5.0ms (56.5% of total)
ival-sub: 2.0ms (22.6% of total)
ival-add: 1.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
4.4MiB live, 43.7MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- 2 x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* 2 x) 2) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (- 2 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- 2 y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
5.0ms
y
@0
((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y))
1.0ms
y
@inf
((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y))
1.0ms
x
@inf
((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y))
1.0ms
x
@0
((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y))
1.0ms
x
@-inf
((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y))

simplify162.0ms (2.8%)

Memory
6.6MiB live, 226.5MiB allocated
Algorithm
egg-herbie
Rules
12 038×lower-fma.f64
12 038×lower-fma.f32
4 472×lower-*.f64
4 472×lower-*.f32
2 680×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186985
1571921
21809857
37619851
08589806
Stop Event
iter limit
node limit
Counts
96 → 87
Calls
Call 1
Inputs
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
x
(+ x y)
(+ x y)
(+ x y)
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
y
(+ x y)
(+ x y)
(+ x y)
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
Outputs
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 y (-.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y (-.f64 (/.f64 y (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
(- (+ 2 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
(- (+ 2 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
(- (+ 2 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(-.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) y) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (-.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (-.f64 x #s(literal 2 binary64)) y))
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y)
y
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) (-.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) y))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (-.f64 #s(literal 2 binary64) x))) y)) #s(literal 2 binary64)) y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)
(* -1 (/ y (- 2 y)))
(/.f64 y (+.f64 #s(literal -2 binary64) y))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x (/.f64 y (+.f64 #s(literal -2 binary64) y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) x (/.f64 y (+.f64 #s(literal -2 binary64) y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) x (/.f64 y (+.f64 #s(literal -2 binary64) y)))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- 2 y)
(-.f64 #s(literal 2 binary64) y)
(- (+ 2 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
(- (+ 2 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
(- (+ 2 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x)))
x
(* x (+ 1 (* -1 (/ y x))))
(fma.f64 (/.f64 y (neg.f64 x)) x x)
(* x (+ 1 (* -1 (/ y x))))
(fma.f64 (/.f64 y (neg.f64 x)) x x)
(* x (+ 1 (* -1 (/ y x))))
(fma.f64 (/.f64 y (neg.f64 x)) x x)
(* -1 x)
(neg.f64 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x))
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64))
x
(* -1 (* x (- (/ y x) 1)))
(fma.f64 (/.f64 y (neg.f64 x)) x x)
(* -1 (* x (- (/ y x) 1)))
(fma.f64 (/.f64 y (neg.f64 x)) x x)
(* -1 (* x (- (/ y x) 1)))
(fma.f64 (/.f64 y (neg.f64 x)) x x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)

rewrite287.0ms (5%)

Memory
10.8MiB live, 207.1MiB allocated
Rules
4 750×lower-fma.f64
4 750×lower-fma.f32
4 670×lower-*.f64
4 670×lower-*.f32
4 200×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
16020
252520
3775220
0847420
Stop Event
iter limit
node limit
iter limit
Counts
4 → 607
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(-.f64 x y)
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(+.f64 x y)
Outputs
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x (-.f64 x y)) (*.f64 y y)))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 y y))) (-.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 #s(literal 2 binary64) (-.f64 x y)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 x y) (+.f64 #s(literal -4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 x y) (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(*.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (+.f64 y x)))
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 x y) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 y x) (+.f64 #s(literal -4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 y x) (+.f64 #s(literal -4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 (+.f64 y x) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (+.f64 y x)) (-.f64 (neg.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 y x))))
(*.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (pow.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (pow.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (pow.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) (-.f64 x y)))
(*.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (+.f64 y x))))
(*.f64 (pow.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 y x))
(*.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (+.f64 y x)) (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) x (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 2 binary64) (+.f64 y x))))
(*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (+.f64 #s(literal -4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x))))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (+.f64 y x)))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 y x))))
(*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (-.f64 x y))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64))))
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (-.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 y x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 y x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 y x))))
(*.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))))
(*.f64 (-.f64 y x) (pow.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x))))
(*.f64 (-.f64 x y) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 y x))
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(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y x)))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y)))
(+.f64 (*.f64 #s(literal 1 binary64) x) y)
(+.f64 (neg.f64 (neg.f64 x)) y)
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 y (*.f64 #s(literal 1 binary64) x))
(+.f64 y (neg.f64 (neg.f64 x)))
(+.f64 y x)
(+.f64 x y)

eval167.0ms (2.9%)

Memory
-21.1MiB live, 174.9MiB allocated
Compiler

Compiled 16 977 to 1 879 computations (88.9% saved)

prune18.0ms (0.3%)

Memory
16.4MiB live, 55.2MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New68212694
Fresh000
Picked011
Done000
Total68213695
Accuracy
100.0%
Counts
695 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))) (+.f64 y x))
100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
66.5%
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))
34.8%
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
39.7%
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
51.5%
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
90.1%
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)))
50.3%
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x))))
46.9%
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))
54.0%
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
34.5%
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
39.6%
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
Compiler

Compiled 251 to 195 computations (22.3% saved)

simplify116.0ms (2%)

Memory
5.3MiB live, 43.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- 2 (+ x y)) (neg.f64 x))
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
cost-diff0
(-.f64 #s(literal 2 binary64) x)
cost-diff0
(/.f64 x (-.f64 #s(literal 2 binary64) x))
cost-diff0
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
cost-diff0
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
cost-diff0
(+.f64 y x)
cost-diff0
(-.f64 (+.f64 y x) #s(literal 2 binary64))
cost-diff0
(/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)))
Rules
1 584×lower-fma.f64
1 584×lower-fma.f32
912×div-sub
832×lower-*.f64
832×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024130
035130
167130
2111128
3211128
4459128
5847128
61834128
72890128
83417128
93520128
103688128
113824128
124068128
135048128
145048128
05048128
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)))
#s(literal 1 binary64)
(/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))
(-.f64 (+.f64 y x) #s(literal 2 binary64))
(+.f64 y x)
y
x
#s(literal 2 binary64)
(-.f64 y x)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
x
(-.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
(-.f64 x y)
x
y
#s(approx (- 2 (+ x y)) (neg.f64 x))
(neg.f64 x)
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))
(-.f64 x y)
x
y
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))
(-.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
#s(literal 1 binary64)
(/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))
(-.f64 (+.f64 y x) #s(literal 2 binary64))
(-.f64 (+.f64 x y) #s(literal 2 binary64))
(+.f64 y x)
(+.f64 x y)
y
x
#s(literal 2 binary64)
(-.f64 y x)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
x
(-.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
(-.f64 x y)
x
y
#s(approx (- 2 (+ x y)) (neg.f64 x))
(neg.f64 x)
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))
(-.f64 x y)
x
y
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))
(-.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize81.0ms (1.4%)

Memory
-13.1MiB live, 109.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x y)
accuracy0
(-.f64 #s(literal 2 binary64) x)
accuracy0.0234375
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))
accuracy21.416278496000707
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))
accuracy0
(-.f64 x y)
accuracy0
(neg.f64 x)
accuracy0.0234375
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
accuracy38.51547294917996
#s(approx (- 2 (+ x y)) (neg.f64 x))
accuracy0
(-.f64 #s(literal 2 binary64) x)
accuracy0.00390625
(/.f64 x (-.f64 #s(literal 2 binary64) x))
accuracy29.454205257737012
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
accuracy38.68304369755542
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
accuracy0
(+.f64 y x)
accuracy0.00390625
(-.f64 (+.f64 y x) #s(literal 2 binary64))
accuracy0.045253759768442016
(/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))
accuracy0.08984375
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)))
Samples
37.0ms256×0valid
Compiler

Compiled 110 to 19 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sub: 6.0ms (37.3% of total)
ival-div: 6.0ms (37.3% of total)
ival-add: 3.0ms (18.7% of total)
ival-neg: 1.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
-4.4MiB live, 33.7MiB allocated
Counts
14 → 300
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) (patch (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 y x) #s(literal 2 binary64)) (patch (-.f64 (+.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 x (-.f64 #s(literal 2 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) x) (patch (-.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- 2 (+ x y)) (neg.f64 x)) (patch #s(approx (- 2 (+ x y)) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ x (- x 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2)))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- x 2) x)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) (patch (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- x 2) x)) (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) (patch (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) x)) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) (patch (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))) x))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) (patch (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- x 2) (taylor 0 y) (#s(alt (-.f64 (+.f64 y x) #s(literal 2 binary64)) (patch (-.f64 (+.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) 2) (taylor 0 y) (#s(alt (-.f64 (+.f64 y x) #s(literal 2 binary64)) (patch (-.f64 (+.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) 2) (taylor 0 y) (#s(alt (-.f64 (+.f64 y x) #s(literal 2 binary64)) (patch (-.f64 (+.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) 2) (taylor 0 y) (#s(alt (-.f64 (+.f64 y x) #s(literal 2 binary64)) (patch (-.f64 (+.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
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#s(alt -1 (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) (neg.f64 x)) (patch #s(approx (- 2 (+ x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) (neg.f64 x)) (patch #s(approx (- 2 (+ x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) (neg.f64 x)) (patch #s(approx (- 2 (+ x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) (neg.f64 x)) (patch #s(approx (- 2 (+ x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ())
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#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@inf
((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)))
1.0ms
x
@inf
((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)))
1.0ms
x
@-inf
((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)))
1.0ms
x
@0
((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)))
1.0ms
y
@0
((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y)))

simplify150.0ms (2.6%)

Memory
-5.5MiB live, 272.8MiB allocated
Algorithm
egg-herbie
Rules
7 460×lower-fma.f64
7 460×lower-fma.f32
3 566×lower-*.f64
3 566×lower-*.f32
3 338×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04874332
115384010
249873931
083593701
Stop Event
iter limit
node limit
Counts
300 → 287
Calls
Call 1
Inputs
(* -1 (/ x (- x 2)))
(+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2))))))
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2))))))
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2))))))
(* -1 (/ (- x 2) x))
(+ (* -1 (/ (- x 2) x)) (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))))
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) x)) (* 2 (/ 1 x)))))
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))) x))))) (* 2 (/ 1 x)))))
(- x 2)
(- (+ x y) 2)
(- (+ x y) 2)
(- (+ x y) 2)
x
(+ x y)
(+ x y)
(+ x y)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
1
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* 2 (/ 1 y))))) (/ x y))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) (pow y 3))))) (+ (/ x y) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2))))
1
(- (+ 1 (/ x y)) (+ (* -1 (/ x y)) (* 2 (/ 1 y))))
(- (+ 1 (+ (/ x y) (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2)))) (+ (* -1 (/ x y)) (* 2 (/ 1 y))))
(- (+ 1 (+ (/ x y) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2))) (* 2 (/ 1 y)))))
y
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
1
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y))
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) y)) y)))
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (* -1 (/ (+ (* -1 (* (- x 2) (- (+ 2 (* -1 x)) x))) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) y)) y))) y)))
1
(- (+ 1 (/ x y)) (+ (* -1 (/ x y)) (* 2 (/ 1 y))))
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (* x (- x (+ 2 (* -1 x)))) y))) y)))
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (+ (* x (- x (+ 2 (* -1 x)))) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) y)) y))) y)))
y
(* -1 (* y (- (* -1 (/ (- x 2) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x 2) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x 2) y)) 1)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(/ y (- y 2))
(+ (* -1 (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2)))
(+ (* x (- (/ (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2)))) (- y 2)) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2)))
(+ (* x (- (* x (- (* -1 (* x (+ (/ 1 (pow (- y 2) 3)) (/ y (pow (- y 2) 4))))) (* -1 (/ (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))) (- y 2))))) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2)))
(/ (- y 2) y)
(- (+ 1 (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y)))
(- (+ 1 (* x (- (+ (/ 1 y) (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y)))
(- (+ 1 (* x (- (+ (* x (- (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) (pow y 2)) (* -1 (/ (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))) y)))) (/ 1 y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y)))
(- y 2)
(- (+ x y) 2)
(- (+ x y) 2)
(- (+ x y) 2)
y
(+ x y)
(+ x y)
(+ x y)
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))
2
(+ 2 (* -1 x))
(+ 2 (* -1 x))
(+ 2 (* -1 x))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
-1
(- (/ y x) (+ 1 (* -1 (/ (- y 2) x))))
(- (+ (* -1 (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ (- y 2) x))))
(- (+ (/ y x) (/ (* (pow (- y 2) 2) (- y (* -1 (- y 2)))) (pow x 3))) (+ 1 (+ (* -1 (/ (- y 2) x)) (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2)))))
-1
(- (* -1 (/ (- y 2) x)) (+ 1 (/ y x)))
(- (+ (* -1 (/ (- y 2) x)) (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (+ 1 (/ y x)))
(- (+ (* -1 (/ (- y 2) x)) (/ (* (pow y 2) (- (* -1 (- y 2)) y)) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (/ y x))))
x
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x))))
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x))))
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(* -1 x)
(* x (- (* 2 (/ 1 x)) 1))
(* x (- (* 2 (/ 1 x)) 1))
(* x (- (* 2 (/ 1 x)) 1))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
-1
(- (* -1 (/ (- (+ 2 (* -1 y)) y) x)) 1)
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (* (- y 2) (- (+ 2 (* -1 y)) y)) x)))) y) x)) 1)
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y 2) 2) (- (+ 2 (* -1 y)) y)) x)) (* -1 (* (- y 2) (- (+ 2 (* -1 y)) y)))) x)))) y) x)) 1)
-1
(- (* -1 (/ (- y (+ 2 (* -1 y))) x)) 1)
(- (* -1 (/ (- (+ y (/ (* y (- y (+ 2 (* -1 y)))) x)) (+ 2 (* -1 y))) x)) 1)
(- (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (+ 2 (* -1 y)))) x)) (* y (- y (+ 2 (* -1 y))))) x))) (+ 2 (* -1 y))) x)) 1)
x
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)
(* -1 x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
Outputs
(* -1 (/ x (- x 2)))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2))))))
(fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (+.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64))))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2))))))
(fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64))))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(* -1 (/ (- x 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) x) x)
(+ (* -1 (/ (- x 2) x)) (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) y (/.f64 (-.f64 #s(literal 2 binary64) x) x))
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) x)) (* 2 (/ 1 x)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) (/.f64 y x) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x))) y (/.f64 (-.f64 #s(literal 2 binary64) x) x))
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))) x))))) (* 2 (/ 1 x)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) x) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) x)) y (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x))) y (/.f64 (-.f64 #s(literal 2 binary64) x) x))
(- x 2)
(-.f64 x #s(literal 2 binary64))
(- (+ x y) 2)
(-.f64 (+.f64 y x) #s(literal 2 binary64))
(- (+ x y) 2)
(-.f64 (+.f64 y x) #s(literal 2 binary64))
(- (+ x y) 2)
(-.f64 (+.f64 y x) #s(literal 2 binary64))
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
(- (+ 2 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
(- (+ 2 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
(- (+ 2 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
(- (+ 2 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
(- (+ 2 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
(- (+ 2 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
1
#s(literal 1 binary64)
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y))
(+.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* 2 (/ 1 y))))) (/ x y))
(+.f64 (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) (pow y 3))))) (+ (/ x y) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2))))
(-.f64 (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y) (/.f64 (-.f64 x #s(literal 2 binary64)) y) (/.f64 x y)))
1
#s(literal 1 binary64)
(- (+ 1 (/ x y)) (+ (* -1 (/ x y)) (* 2 (/ 1 y))))
(+.f64 (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64))
(- (+ 1 (+ (/ x y) (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2)))) (+ (* -1 (/ x y)) (* 2 (/ 1 y))))
(+.f64 (fma.f64 (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y) y) x (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64))
(- (+ 1 (+ (/ x y) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2))) (* 2 (/ 1 y)))))
(-.f64 (fma.f64 (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) (pow.f64 y #s(literal 3 binary64))) (*.f64 x x) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y) (/.f64 x y) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
y
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))
(fma.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) y y)
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))
(fma.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) y y)
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 y))))
(fma.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) y) y y)
y
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(+.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) y) #s(literal 1 binary64))
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(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x))
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 8 binary64) x) x)) (/.f64 #s(literal 4 binary64) x)) x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) x (neg.f64 x))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) x (neg.f64 x))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) x (neg.f64 x))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64))
x
(* -1 (* x (- (/ y x) 1)))
(fma.f64 (/.f64 y (neg.f64 x)) x x)
(* -1 (* x (- (/ y x) 1)))
(fma.f64 (/.f64 y (neg.f64 x)) x x)
(* -1 (* x (- (/ y x) 1)))
(fma.f64 (/.f64 y (neg.f64 x)) x x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x)

rewrite188.0ms (3.3%)

Memory
26.1MiB live, 310.1MiB allocated
Rules
6 066×lower-/.f32
6 056×lower-/.f64
4 556×lower-*.f64
4 556×lower-*.f32
3 208×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024109
035109
1173107
21444107
08757107
Stop Event
iter limit
node limit
iter limit
Counts
14 → 655
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)))
(/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))
(-.f64 (+.f64 y x) #s(literal 2 binary64))
(+.f64 y x)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(-.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
(-.f64 x y)
#s(approx (- 2 (+ x y)) (neg.f64 x))
(neg.f64 x)
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))
Outputs
(*.f64 (/.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 y x) (-.f64 y x)))) (-.f64 y x))
(*.f64 (/.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 x y)))) (-.f64 y x))
(*.f64 (/.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y)))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64))) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 x y)))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (+.f64 x y) #s(literal 2 binary64))) (/.f64 (-.f64 y x) (+.f64 x y)))
(*.f64 (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 (+.f64 x y) #s(literal 2 binary64))) (/.f64 (-.f64 y x) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (/.f64 (-.f64 y x) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (/.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 y x) (-.f64 x y))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 x y) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 y x) (-.f64 x y))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 (-.f64 x y) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 y x) (-.f64 y x))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 y x) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 y x) (-.f64 y x))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 (-.f64 y x) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 y x) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 y x) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 y x))
(*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (-.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)) (neg.f64 (-.f64 y x)))
(*.f64 (/.f64 (-.f64 y x) (-.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 y x)) #s(literal -1 binary64)))
(*.f64 (-.f64 y x) (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))
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(*.f64 (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (-.f64 x y))
(*.f64 (neg.f64 (-.f64 x y)) (pow.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (-.f64 x y) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))
(pow.f64 (/.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y)) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))) (neg.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))) (*.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) y))) (neg.f64 (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 x y) #s(literal 1 binary64))) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x y)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (neg.f64 y))) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) y)) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) y)) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))) (*.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) y)))
(/.f64 (-.f64 (*.f64 x (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (neg.f64 y))) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (*.f64 x (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) y)) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) y)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))) (*.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) x) (neg.f64 y))) (*.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) x) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) x) y)) (*.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) x) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) y)) (*.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) x) (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) y)))
(/.f64 (-.f64 (neg.f64 x) (neg.f64 y)) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) (+.f64 x y))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (-.f64 x y) #s(literal 1 binary64)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (+.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (neg.f64 (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (+.f64 x y))))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (+.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (*.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) y)) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y)))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 x (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))))
(-.f64 (/.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (+.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (+.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))))
(-.f64 (/.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))))) (/.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))))))
(-.f64 (/.f64 (*.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) y) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (+.f64 x y))) (/.f64 (*.f64 y y) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (+.f64 x y))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y)))) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y)))) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 x y) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))))
(-.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y))) #s(literal -1 binary64)))
(+.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))))
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))

eval164.0ms (2.9%)

Memory
5.3MiB live, 229.4MiB allocated
Compiler

Compiled 22 948 to 2 774 computations (87.9% saved)

prune65.0ms (1.1%)

Memory
-17.2MiB live, 70.8MiB allocated
Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New1 03861 044
Fresh257
Picked055
Done011
Total1 040171 057
Accuracy
100.0%
Counts
1 057 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
66.5%
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))
34.8%
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
39.7%
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
28.4%
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
51.5%
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
90.1%
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)))
47.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (+.f64 (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64))))
50.3%
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x))))
46.9%
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64))))
54.0%
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
15.7%
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)))
15.7%
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)))
16.1%
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)))
34.5%
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
39.6%
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
Compiler

Compiled 271 to 227 computations (16.2% saved)

simplify138.0ms (2.4%)

Memory
6.7MiB live, 163.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)
cost-diff0
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))
cost-diff0
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)))
cost-diff0
#s(approx (- 2 x) #s(literal 2 binary64))
cost-diff0
#s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
cost-diff0
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)
cost-diff0
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))
cost-diff0
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)))
cost-diff0
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
cost-diff0
(/.f64 y (neg.f64 x))
cost-diff0
#s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x))
cost-diff0
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
cost-diff1024
(fma.f64 (/.f64 y (neg.f64 x)) x x)
Rules
6 226×lower-fma.f32
6 216×lower-fma.f64
2 842×lower-*.f32
2 838×lower-*.f64
2 322×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036232
056236
192236
2162220
3344220
4781220
52423220
64933220
77535220
08221220
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
#s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x))
(fma.f64 (/.f64 y (neg.f64 x)) x x)
(/.f64 y (neg.f64 x))
y
(neg.f64 x)
x
(-.f64 #s(literal 2 binary64) (+.f64 x y))
#s(literal 2 binary64)
(+.f64 x y)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
x
#s(literal 1/2 binary64)
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
(-.f64 x y)
x
y
#s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))
#s(approx (- 2 x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64))
(fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64))
#s(literal 1/16 binary64)
x
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
Outputs
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 #s(approx (- x y) (-.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 y x)))
#s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x))
#s(approx (- x y) (-.f64 x y))
(fma.f64 (/.f64 y (neg.f64 x)) x x)
(-.f64 x y)
(/.f64 y (neg.f64 x))
y
(neg.f64 x)
x
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(-.f64 #s(literal 2 binary64) (+.f64 y x))
#s(literal 2 binary64)
(+.f64 x y)
(+.f64 y x)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
x
#s(literal 1/2 binary64)
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
(-.f64 x y)
x
y
#s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))
#s(approx (- 2 x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64))
(fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64))
#s(literal 1/16 binary64)
x
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)

localize117.0ms (2%)

Memory
26.0MiB live, 100.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.04296875
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)
accuracy0.0703125
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64))
accuracy29.454205257737012
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)))
accuracy31.402420732515534
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))
accuracy0
(-.f64 x y)
accuracy0.0234375
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
accuracy21.416278496000707
#s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))
accuracy31.023140885407713
#s(approx (- 2 x) #s(literal 2 binary64))
accuracy0
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64))
accuracy0.00390625
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)
accuracy29.454205257737012
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)))
accuracy31.495147003301888
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))
accuracy41.92694032766434
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
accuracy0
#s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x))
accuracy0.00390625
(-.f64 #s(literal 2 binary64) (+.f64 x y))
accuracy0.0234375
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
accuracy6.131459119765673
(fma.f64 (/.f64 y (neg.f64 x)) x x)
Samples
71.0ms256×0valid
Compiler

Compiled 162 to 30 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 9.0ms (34.1% of total)
ival-add: 6.0ms (22.7% of total)
ival-div: 5.0ms (18.9% of total)
ival-sub: 4.0ms (15.1% of total)
exact: 1.0ms (3.8% of total)
ival-neg: 1.0ms (3.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series41.0ms (0.7%)

Memory
-33.0MiB live, 58.4MiB allocated
Counts
18 → 348
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 y (neg.f64 x)) x x) (patch (fma.f64 (/.f64 y (neg.f64 x)) x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (patch #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) #<representation binary64>) () ())
#s(alt (/.f64 y (neg.f64 x)) (patch (/.f64 y (neg.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) (patch #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) (patch #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 2 x) #s(literal 2 binary64)) (patch #s(approx (- 2 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) (patch #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (neg.f64 x)) x x) (patch (fma.f64 (/.f64 y (neg.f64 x)) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (neg.f64 x)) x x) (patch (fma.f64 (/.f64 y (neg.f64 x)) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (neg.f64 x)) x x) (patch (fma.f64 (/.f64 y (neg.f64 x)) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (neg.f64 x)) x x) (patch (fma.f64 (/.f64 y (neg.f64 x)) x x) #<representation binary64>) () ())) ())
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (patch #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (patch #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (patch #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (patch #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor 0 y) (#s(alt (/.f64 y (neg.f64 x)) (patch (/.f64 y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor 0 y) (#s(alt (/.f64 y (neg.f64 x)) (patch (/.f64 y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor 0 y) (#s(alt (/.f64 y (neg.f64 x)) (patch (/.f64 y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor 0 y) (#s(alt (/.f64 y (neg.f64 x)) (patch (/.f64 y (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
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#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (* 1/4 (/ 1 x))) x)) 1/16))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x)))) x)) 1/16))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@0
((+ (* (/ y (neg x)) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (/ y (neg x)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (- 2 (+ x y)))
2.0ms
x
@inf
((+ (* (/ y (neg x)) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (/ y (neg x)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (- 2 (+ x y)))
1.0ms
x
@-inf
((+ (* (/ y (neg x)) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (/ y (neg x)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (- 2 (+ x y)))
1.0ms
x
@0
((+ (* (/ y (neg x)) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (/ y (neg x)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (- 2 (+ x y)))
1.0ms
y
@inf
((+ (* (/ y (neg x)) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (/ y (neg x)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (- 2 (+ x y)))

simplify235.0ms (4.1%)

Memory
28.9MiB live, 215.8MiB allocated
Algorithm
egg-herbie
Rules
13 936×lower-fma.f64
13 936×lower-fma.f32
5 360×lower-*.f64
5 360×lower-*.f32
4 400×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02664345
18414110
225623773
083583551
Stop Event
iter limit
node limit
Counts
348 → 339
Calls
Call 1
Inputs
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 y)
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* 1/4 x)))
1/2
(+ 1/2 (* 1/4 x))
(+ 1/2 (* 1/4 x))
(+ 1/2 (* 1/4 x))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
2
(+ 2 (* -1 x))
(+ 2 (* -1 x))
(+ 2 (* -1 x))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))
1/2
(+ 1/2 (* 1/4 x))
(+ 1/2 (* x (+ 1/4 (* 1/8 x))))
(+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* 1/4 x)
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* x (- (* 2 (/ 1 x)) 1))
(* x (- (* 2 (/ 1 x)) 1))
(* x (- (* 2 (/ 1 x)) 1))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(* 1/16 (pow x 4))
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 x))))
(* (pow x 4) (+ 1/16 (+ (/ 1/4 (pow x 2)) (* 1/8 (/ 1 x)))))
(* (pow x 4) (+ 1/16 (+ (/ 1/4 (pow x 2)) (+ (* 1/8 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))))
(* 1/16 (pow x 3))
(* (pow x 3) (+ 1/16 (* 1/8 (/ 1 x))))
(* (pow x 3) (+ 1/16 (+ (/ 1/4 (pow x 2)) (* 1/8 (/ 1 x)))))
(* (pow x 3) (+ 1/16 (+ (/ 1/4 (pow x 2)) (+ (* 1/8 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))))
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x))))
(* 1/4 x)
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
(* x (+ 1/4 (* 1/2 (/ 1 x))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)
(* 1/16 (pow x 4))
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 x))))
(* (pow x 4) (+ 1/16 (+ (/ 1/4 (pow x 2)) (* 1/8 (/ 1 x)))))
(* (pow x 4) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8) x))))
(* 1/16 (pow x 3))
(* (pow x 3) (+ 1/16 (* 1/8 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (* 1/4 (/ 1 x))) x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x)))) x)) 1/16)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
Outputs
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 y (-.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 y (-.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 y (-.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 y (-.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
(- (+ 2 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
(- (+ 2 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
(- (+ 2 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+.f64 (/.f64 y (-.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(- 2 x)
(-.f64 #s(literal 2 binary64) x)
(- (+ 2 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
(- (+ 2 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
(- (+ 2 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) y) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (-.f64 x #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) y) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (-.f64 x #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) y) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (-.f64 x #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) y) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (-.f64 x #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y)
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(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) x)
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) y))) x)) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x))
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) x) x) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) x)) x))
(* 1/16 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64))
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 x))))
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/16 (+ (/ 1/4 (pow x 2)) (* 1/8 (/ 1 x)))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8) x))))
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(* 1/16 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/16 binary64))
(* (pow x 3) (+ 1/16 (* 1/8 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x) x)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (* 1/4 (/ 1 x))) x)) 1/16)))
(*.f64 (neg.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/8 binary64)) x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x)))) x)) 1/16)))
(*.f64 (neg.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/4 binary64) x)) x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x))

rewrite252.0ms (4.4%)

Memory
-21.2MiB live, 258.7MiB allocated
Rules
5 570×lower-/.f32
5 564×lower-/.f64
4 182×lower-*.f32
4 178×lower-*.f64
3 690×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036201
056201
1219201
21617201
08631201
Stop Event
iter limit
node limit
iter limit
Counts
18 → 451
Calls
Call 1
Inputs
(fma.f64 (/.f64 y (neg.f64 x)) x x)
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
#s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x))
(/.f64 y (neg.f64 x))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
(-.f64 x y)
#s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))
#s(approx (- 2 x) #s(literal 2 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)))
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
Outputs
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (/.f64 y (neg.f64 x)) x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y (neg.f64 x)) x)) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y (neg.f64 x)) x) x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y (neg.f64 x)) x)) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (neg.f64 x)) x x))
(*.f64 x (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (neg.f64 x)) x x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))) (/.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 y (neg.f64 x)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y (neg.f64 x)) x)) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))) (*.f64 (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x)) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 y (neg.f64 x)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y (neg.f64 x)) x) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y (neg.f64 x)) x)) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (neg.f64 x)) x x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y (neg.f64 x)) x) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 y (neg.f64 x)) x)) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (/.f64 y (neg.f64 x)) x)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y (neg.f64 x)) x) x))) (+.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (neg.f64 x)) x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (neg.f64 x)) x x)))
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) x) x)
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (neg.f64 x)) x)
(fma.f64 (/.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) x)
(fma.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) x)
(fma.f64 (*.f64 (neg.f64 y) x) (pow.f64 x #s(literal -1 binary64)) x)
(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y (neg.f64 x)) x)
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))) x)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y x) x)
(fma.f64 (*.f64 x (neg.f64 y)) (pow.f64 x #s(literal -1 binary64)) x)
(fma.f64 (*.f64 y #s(literal -1 binary64)) (/.f64 x x) x)
(fma.f64 (/.f64 x x) (*.f64 y #s(literal -1 binary64)) x)
(fma.f64 (neg.f64 (*.f64 x y)) (pow.f64 x #s(literal -1 binary64)) x)
(fma.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 (/.f64 y x) (/.f64 x #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 x y)) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (/.f64 y (neg.f64 x)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (pow.f64 y #s(literal -1 binary64))) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 x y)) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (neg.f64 x)) x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 y (neg.f64 x)) x))
(fma.f64 (/.f64 y (neg.f64 x)) x x)
(fma.f64 x (/.f64 y (neg.f64 x)) x)
(fma.f64 y (/.f64 (neg.f64 x) x) x)
(fma.f64 y (*.f64 (/.f64 #s(literal -1 binary64) x) x) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y (neg.f64 x)) x))) (/.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y (neg.f64 x)) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))))
(+.f64 (*.f64 (/.f64 y (neg.f64 x)) x) x)
(+.f64 x (*.f64 (/.f64 y (neg.f64 x)) x))
(*.f64 (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (+.f64 (+.f64 #s(literal 2 binary64) x) y))
(*.f64 (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)))) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x))))))
(*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)) #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)))
(*.f64 (neg.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x))) (pow.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(*.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y))))))
(/.f64 (*.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (neg.f64 (neg.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)))))
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(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) y))))
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(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 y y)) (+.f64 (-.f64 #s(literal 2 binary64) x) y))
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(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) y)))
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(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 2 binary64) x) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64))))
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(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (neg.f64 (+.f64 x y))) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) y))) (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
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(fma.f64 (/.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (-.f64 x y)) #s(literal 2 binary64))
(fma.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64))
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(-.f64 (-.f64 #s(literal 2 binary64) y) x)
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(-.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 y #s(literal 1 binary64)))
(-.f64 (-.f64 #s(literal 2 binary64) x) y)
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x y) #s(literal 1 binary64)))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(+.f64 (neg.f64 (+.f64 x y)) #s(literal 2 binary64))
(+.f64 (-.f64 #s(literal 2 binary64) x) (neg.f64 y))
(+.f64 #s(literal 2 binary64) (-.f64 (neg.f64 x) y))
(+.f64 #s(literal 2 binary64) (neg.f64 (+.f64 x y)))

eval186.0ms (3.3%)

Memory
-11.0MiB live, 198.9MiB allocated
Compiler

Compiled 15 941 to 2 077 computations (87% saved)

prune42.0ms (0.7%)

Memory
25.7MiB live, 64.6MiB allocated
Pruning

19 alts after pruning (8 fresh and 11 done)

PrunedKeptTotal
New7864790
Fresh246
Picked055
Done066
Total78819807
Accuracy
100.0%
Counts
807 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
66.5%
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))
34.8%
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
39.7%
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
28.4%
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
51.5%
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
90.1%
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
90.0%
(/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
14.8%
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)))
47.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (+.f64 (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64))))
46.9%
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64))))
54.0%
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
15.7%
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)))
15.7%
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)))
16.1%
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)))
3.2%
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x)))
34.5%
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
39.6%
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
Compiler

Compiled 250 to 218 computations (12.8% saved)

simplify122.0ms (2.1%)

Memory
-28.0MiB live, 92.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (+.f64 y x) (-.f64 y x))
cost-diff0
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
cost-diff128
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))
cost-diff1728
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- 2 (+ x y)) (neg.f64 y))
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
cost-diff0
#s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- x y) (neg.f64 y))
cost-diff0
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
cost-diff0
#s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)
cost-diff0
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))
cost-diff0
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)))
cost-diff0
#s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x))
cost-diff0
(/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
cost-diff192
(*.f64 (/.f64 #s(literal -1 binary64) x) y)
cost-diff1024
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)
Rules
8 480×lower-fma.f32
8 478×lower-fma.f64
2 732×lower-*.f32
2 724×lower-*.f64
1 438×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047288
068281
1116278
2245278
3831249
42902249
55913249
08249237
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
#s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)
(*.f64 (/.f64 #s(literal -1 binary64) x) y)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
y
(-.f64 #s(literal 2 binary64) (+.f64 x y))
#s(literal 2 binary64)
(+.f64 x y)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)))
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)
#s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))
#s(approx (- 2 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
(-.f64 x y)
x
y
#s(approx (- 2 (+ x y)) (neg.f64 y))
(neg.f64 y)
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
(*.f64 (+.f64 y x) (-.f64 y x))
(+.f64 y x)
y
x
(-.f64 y x)
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))
#s(literal 1 binary64)
(neg.f64 (+.f64 y x))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
#s(literal 2 binary64)
(+.f64 x y)
Outputs
(/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 #s(approx (- x y) (-.f64 x y)) (-.f64 (-.f64 #s(literal 2 binary64) y) x))
#s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x))
#s(approx (- x y) (-.f64 x y))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)
(-.f64 x y)
(*.f64 (/.f64 #s(literal -1 binary64) x) y)
(/.f64 (neg.f64 y) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
y
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
#s(literal 2 binary64)
(+.f64 x y)
(+.f64 y x)
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)))
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)
#s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))
#s(approx (- 2 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
(-.f64 x y)
x
y
#s(approx (- 2 (+ x y)) (neg.f64 y))
(neg.f64 y)
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
(-.f64 x y)
(*.f64 (+.f64 y x) (-.f64 y x))
(*.f64 (-.f64 y x) (+.f64 y x))
(+.f64 y x)
y
x
(-.f64 y x)
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))
(/.f64 #s(literal -1 binary64) (+.f64 y x))
#s(literal 1 binary64)
(neg.f64 (+.f64 y x))
(-.f64 (neg.f64 y) x)
(-.f64 #s(literal 2 binary64) (+.f64 x y))
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
#s(literal 2 binary64)
(+.f64 x y)
(+.f64 y x)

localize91.0ms (1.6%)

Memory
31.2MiB live, 104.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 #s(literal 2 binary64) (+.f64 x y))
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))
accuracy0.0234375
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
accuracy29.93178732604198
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
accuracy0
(-.f64 x y)
accuracy0
(neg.f64 y)
accuracy0.0234375
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
accuracy41.66393294190111
#s(approx (- 2 (+ x y)) (neg.f64 y))
accuracy0.0234375
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
accuracy21.416278496000707
#s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))
accuracy31.023140885407713
#s(approx (- 2 x) #s(literal 2 binary64))
accuracy33.7909065264842
#s(approx (- x y) (neg.f64 y))
accuracy0.04296875
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)
accuracy29.454205257737012
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)))
accuracy31.246847299145262
#s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64))
accuracy31.402420732515534
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))
accuracy0.00390625
(-.f64 #s(literal 2 binary64) (+.f64 x y))
accuracy0.0234375
(/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
accuracy0.2265625
(*.f64 (/.f64 #s(literal -1 binary64) x) y)
accuracy6.131459119765673
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)
Samples
69.0ms256×0valid
Compiler

Compiled 201 to 36 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-sub: 20.0ms (41.3% of total)
ival-mult: 11.0ms (22.7% of total)
ival-div: 8.0ms (16.5% of total)
ival-add: 7.0ms (14.5% of total)
ival-neg: 2.0ms (4.1% of total)
exact: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series50.0ms (0.9%)

Memory
-7.4MiB live, 69.6MiB allocated
Counts
21 → 444
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) (patch (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (patch #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) (patch (/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) (patch #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- 2 (+ x y)) (neg.f64 y)) (patch #s(approx (- 2 (+ x y)) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (patch (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 y x) (-.f64 y x)) (patch (*.f64 (+.f64 y x) (-.f64 y x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (- 2 x) #s(literal 2 binary64)) (patch #s(approx (- 2 x) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) (patch (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) (patch (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) (patch (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) (patch (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt (/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
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#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) (neg.f64 y)) (patch #s(approx (- 2 (+ x y)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) (neg.f64 y)) (patch #s(approx (- 2 (+ x y)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) (neg.f64 y)) (patch #s(approx (- 2 (+ x y)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) (neg.f64 y)) (patch #s(approx (- 2 (+ x y)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (patch (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (patch (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (patch (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (patch (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ y x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (+ y (+ (* -1 y) (* -1 (/ (- (pow y 2) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y)))))) x)))) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (+ y (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (* y (* (- 2 y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))))) x)) (+ (/ (* (- (+ 2 (* -1 y)) y) (- (pow y 2) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))))))) x) (pow y 2))) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y)))))) x)))) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) (-.f64 y x)) (patch (*.f64 (+.f64 y x) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1)) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) (-.f64 y x)) (patch (*.f64 (+.f64 y x) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) (-.f64 y x)) (patch (*.f64 (+.f64 y x) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) (-.f64 y x)) (patch (*.f64 (+.f64 y x) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- 2 x) #s(literal 2 binary64)) (patch #s(approx (- 2 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 2 x) #s(literal 2 binary64)) (patch #s(approx (- 2 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 2 x) #s(literal 2 binary64)) (patch #s(approx (- 2 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 2 x) #s(literal 2 binary64)) (patch #s(approx (- 2 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
15.0ms
y
@-inf
((+ (* (* (/ -1 x) y) x) x) (* (/ -1 x) y) (/ (- x y) (- 2 (+ x y))) (- x y) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (/ 1 (neg (+ y x))) (/ (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (- 2 (+ x y))) (* (+ y x) (- y x)) (- 2 (+ x y)) (- 2 x))
9.0ms
y
@inf
((+ (* (* (/ -1 x) y) x) x) (* (/ -1 x) y) (/ (- x y) (- 2 (+ x y))) (- x y) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (/ 1 (neg (+ y x))) (/ (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (- 2 (+ x y))) (* (+ y x) (- y x)) (- 2 (+ x y)) (- 2 x))
2.0ms
y
@0
((+ (* (* (/ -1 x) y) x) x) (* (/ -1 x) y) (/ (- x y) (- 2 (+ x y))) (- x y) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (/ 1 (neg (+ y x))) (/ (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (- 2 (+ x y))) (* (+ y x) (- y x)) (- 2 (+ x y)) (- 2 x))
2.0ms
x
@-inf
((+ (* (* (/ -1 x) y) x) x) (* (/ -1 x) y) (/ (- x y) (- 2 (+ x y))) (- x y) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (/ 1 (neg (+ y x))) (/ (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (- 2 (+ x y))) (* (+ y x) (- y x)) (- 2 (+ x y)) (- 2 x))
2.0ms
x
@inf
((+ (* (* (/ -1 x) y) x) x) (* (/ -1 x) y) (/ (- x y) (- 2 (+ x y))) (- x y) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (/ 1 (neg (+ y x))) (/ (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (- 2 (+ x y))) (* (+ y x) (- y x)) (- 2 (+ x y)) (- 2 x))

simplify183.0ms (3.2%)

Memory
20.7MiB live, 246.4MiB allocated
Algorithm
egg-herbie
Rules
7 680×lower-fma.f64
7 680×lower-fma.f32
4 758×lower-*.f64
4 758×lower-*.f32
3 062×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05435304
117824824
257884724
088154492
Stop Event
iter limit
node limit
Counts
444 → 429
Calls
Call 1
Inputs
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(/ x (- 2 x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(/ -1 x)
(- (/ y (pow x 2)) (/ 1 x))
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ x (- 2 x))
(+ (* -1 (* y (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))
(+ (* y (+ (* -1 (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2)))) (* -1 (/ (* y (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2)))) (- 2 x))))) (/ x (- 2 x)))
(+ (* y (+ (* -1 (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2)))) (* y (+ (* -1 (/ (* y (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2)))) (pow (- 2 x) 2))) (* -1 (/ (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2))) (- 2 x))))))) (/ x (- 2 x)))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* y (+ x (* -1 x))))
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x)))))
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x)))))
(- 2 x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(- (+ 2 (* -1 y)) x)
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
1
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(/ -1 y)
(/ (- (/ x y) 1) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y)
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y)
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (+ (* -1 (/ (* (- 2 x) (- (* 2 x) 2)) (pow y 2))) (* -1 (/ (- (* 2 x) 2) y))))
(+ 1 (+ (* -1 (/ (* (- 2 x) (- (* 2 x) 2)) (pow y 2))) (+ (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) (pow y 3))) (* -1 (/ (- (* 2 x) 2) y)))))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))))
(* -1 y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
1
(+ 1 (* -1 (/ (- (* 2 x) 2) y)))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(/ -1 y)
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y))
1
(- (+ 1 (+ (* -1 (/ x y)) (/ x y))) (* -1 (/ (- (+ 2 (* -1 x)) x) y)))
(+ 1 (* -1 (/ (- (+ (* -1 (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))) (/ (pow x 2) y)) (+ (/ (* x (- 2 x)) y) (/ (* (- (+ 2 (* -1 x)) x) (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))) y))) y)))
(+ 1 (* -1 (/ (+ (* -1 (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))) (* -1 (/ (+ (* -1 (- (pow x 2) (+ (* x (- 2 x)) (* (- (+ 2 (* -1 x)) x) (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x))))))) (* -1 (/ (+ (* -1 (* x (* (- 2 x) (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))))) (* (- (+ 2 (* -1 x)) x) (- (pow x 2) (+ (* x (- 2 x)) (* (- (+ 2 (* -1 x)) x) (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))))))) y))) y))) y)))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(* -1 y)
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/4 x)))
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))))
1/2
(+ 1/2 (* 1/4 x))
(+ 1/2 (* x (+ 1/4 (* 1/8 x))))
(+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(* -1 y)
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(/ -1 y)
(- (/ x (pow y 2)) (/ 1 y))
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(* -1 (/ y (- 2 y)))
(+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (/ 1 (- 2 y)))))
(+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y))))))
(+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 4))) (/ 1 (pow (- 2 y) 3)))) (/ 1 (pow (- 2 y) 2))))) (/ 1 (- 2 y))))))
(pow y 2)
(+ (* x (+ y (* -1 y))) (pow y 2))
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2))
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2))
(- 2 y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
(- (+ 2 (* -1 x)) y)
2
(+ 2 (* -1 x))
(+ 2 (* -1 x))
(+ 2 (* -1 x))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(* 1/16 (pow x 4))
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 x))))
(* (pow x 4) (+ 1/16 (+ (/ 1/4 (pow x 2)) (* 1/8 (/ 1 x)))))
(* (pow x 4) (+ 1/16 (+ (/ 1/4 (pow x 2)) (+ (* 1/8 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))))
(* 1/16 (pow x 3))
(* (pow x 3) (+ 1/16 (* 1/8 (/ 1 x))))
(* (pow x 3) (+ 1/16 (+ (/ 1/4 (pow x 2)) (* 1/8 (/ 1 x)))))
(* (pow x 3) (+ 1/16 (+ (/ 1/4 (pow x 2)) (+ (* 1/8 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(/ -1 x)
(/ (- (/ y x) 1) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x)
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x)
-1
(- (* -1 (/ (- (* -1 y) (* -1 (- 2 y))) x)) 1)
(- (+ (* -1 (/ (* (- 2 y) (- (* -1 y) (* -1 (- 2 y)))) (pow x 2))) (* -1 (/ (- (* -1 y) (* -1 (- 2 y))) x))) 1)
(- (+ (* -1 (/ (* (- 2 y) (- (* -1 y) (* -1 (- 2 y)))) (pow x 2))) (+ (* -1 (/ (* (pow (- 2 y) 2) (- (* -1 y) (* -1 (- 2 y)))) (pow x 3))) (* -1 (/ (- (* -1 y) (* -1 (- 2 y))) x)))) 1)
(* -1 (pow x 2))
(* (pow x 2) (- (+ (* -1 (/ y x)) (/ y x)) 1))
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1))
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1))
(* -1 x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(* -1 x)
(* x (- (* 2 (/ 1 x)) 1))
(* x (- (* 2 (/ 1 x)) 1))
(* x (- (* 2 (/ 1 x)) 1))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
(* -1 (/ y x))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1)
(* 1/16 (pow x 4))
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 x))))
(* (pow x 4) (+ 1/16 (+ (/ 1/4 (pow x 2)) (* 1/8 (/ 1 x)))))
(* (pow x 4) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8) x))))
(* 1/16 (pow x 3))
(* (pow x 3) (+ 1/16 (* 1/8 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (* 1/4 (/ 1 x))) x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x)))) x)) 1/16)))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
-1
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x))
-1
(- (* -1 (/ (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1)
(- (* -1 (/ (- (+ y (+ (* -1 y) (* -1 (/ (- (pow y 2) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y)))))) x)))) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1)
(- (* -1 (/ (- (+ y (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (* y (* (- 2 y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))))) x)) (+ (/ (* (- (+ 2 (* -1 y)) y) (- (pow y 2) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))))))) x) (pow y 2))) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y)))))) x)))) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1)
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(* -1 x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
Outputs
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)))) y (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)))) y (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
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(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3 binary64)))
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(*.f64 (neg.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/8 binary64)) x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x)))) x)) 1/16)))
(*.f64 (neg.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/4 binary64) x)) x))) (pow.f64 x #s(literal 3 binary64)))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y) (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64))) x) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64))) x) #s(literal 1 binary64))
x
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y) (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64))) x) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64))) x) #s(literal 1 binary64))
x
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x))
x
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x))
(/.f64 (+.f64 (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 x))) x)) x) #s(literal -1 binary64)) x)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1)
(-.f64 (/.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64))
(- (* -1 (/ (- (+ y (+ (* -1 y) (* -1 (/ (- (pow y 2) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y)))))) x)))) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) (/.f64 (fma.f64 y (-.f64 y (-.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 (-.f64 #s(literal 2 binary64) y) y))) x)) x))
(- (* -1 (/ (- (+ y (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (* y (* (- 2 y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))))) x)) (+ (/ (* (- (+ 2 (* -1 y)) y) (- (pow y 2) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))))))) x) (pow y 2))) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y)))))) x)))) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) (/.f64 (fma.f64 (*.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) (/.f64 (-.f64 #s(literal 2 binary64) y) x)) y (fma.f64 (/.f64 (fma.f64 y (-.f64 y (-.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 (-.f64 #s(literal 2 binary64) y) y))) x) (-.f64 (-.f64 #s(literal 2 binary64) y) y) (fma.f64 y (-.f64 y (-.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 (-.f64 #s(literal 2 binary64) y) y))))) x)) x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (neg.f64 x))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (neg.f64 x))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (neg.f64 x))

rewrite618.0ms (10.8%)

Memory
-45.9MiB live, 216.2MiB allocated
Rules
4 894×lower-/.f32
4 882×lower-/.f64
3 774×lower-*.f32
3 766×lower-*.f64
2 832×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047248
068240
1270222
22097222
08334210
Stop Event
iter limit
node limit
iter limit
Counts
21 → 471
Calls
Call 1
Inputs
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)
(*.f64 (/.f64 #s(literal -1 binary64) x) y)
(/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
#s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)))
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)
#s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64))
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
#s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
(-.f64 x y)
#s(approx (- 2 (+ x y)) (neg.f64 y))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (+.f64 y x) (-.f64 y x))
(-.f64 #s(literal 2 binary64) (+.f64 x y))
#s(approx (- 2 x) #s(literal 2 binary64))
Outputs
(*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 x (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x))) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x)) (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (neg.f64 y) x) x) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (neg.f64 y) x) x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 3 binary64))))))
(fma.f64 (*.f64 x (/.f64 #s(literal -1 binary64) x)) y x)
(fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 (/.f64 (neg.f64 y) x) x x)
(fma.f64 y (*.f64 (/.f64 #s(literal -1 binary64) x) x) x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y x) x)
(fma.f64 x (/.f64 (neg.f64 y) x) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y x)) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x))) (/.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x))))
(+.f64 (*.f64 (/.f64 (neg.f64 y) x) x) x)
(+.f64 x (*.f64 (/.f64 (neg.f64 y) x) x))
(*.f64 (neg.f64 y) (pow.f64 x #s(literal -1 binary64)))
(*.f64 y (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) y)
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) y))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(pow.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 y x)) (*.f64 x x))
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (neg.f64 x))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 y #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)))
(/.f64 (neg.f64 y) (neg.f64 (*.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 y) x)
(/.f64 y (*.f64 x #s(literal -1 binary64)))
(/.f64 y (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (neg.f64 y))))
(neg.f64 (/.f64 y x))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 y x))
(*.f64 (/.f64 #s(approx (- x y) (fma.f64 (/.f64 (neg.f64 y) x) x x)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 (+.f64 y x) #s(literal 2 binary64)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) (neg.f64 x)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 2 binary64) (neg.f64 x)) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (-.f64 #s(literal 2 binary64) (neg.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 2 binary64) (neg.f64 x)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (fma.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) y) (*.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (fma.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (neg.f64 (+.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (neg.f64 (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (neg.f64 (+.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) y) (*.f64 (+.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (+.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (fma.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) y) (*.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (fma.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 y y)) (+.f64 (-.f64 #s(literal 2 binary64) x) y))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) y))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (-.f64 (neg.f64 y) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 y) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (-.f64 (neg.f64 y) x)))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (+.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 y) x)))))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (+.f64 #s(literal -2 binary64) (+.f64 y x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))))
(fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (neg.f64 y))
(fma.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(fma.f64 (-.f64 (neg.f64 y) x) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 (+.f64 y x) #s(literal -1 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal 2 binary64))
(-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 2 binary64) x) y)) (/.f64 (*.f64 y y) (+.f64 (-.f64 #s(literal 2 binary64) x) y)))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (-.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (-.f64 (neg.f64 y) x))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) y)))))
(-.f64 (-.f64 #s(literal 2 binary64) y) x)
(-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 (+.f64 y x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(-.f64 (-.f64 #s(literal 2 binary64) x) y)
(-.f64 #s(literal 2 binary64) (+.f64 y x))
(+.f64 (+.f64 #s(literal 2 binary64) (neg.f64 y)) (neg.f64 x))
(+.f64 (-.f64 (neg.f64 y) x) #s(literal 2 binary64))
(+.f64 (-.f64 #s(literal 2 binary64) x) (neg.f64 y))
(+.f64 #s(literal 2 binary64) (-.f64 (neg.f64 y) x))
#s(approx (- 2 x) #s(literal 2 binary64))

eval335.0ms (5.9%)

Memory
40.8MiB live, 302.2MiB allocated
Compiler

Compiled 21 480 to 2 292 computations (89.3% saved)

prune53.0ms (0.9%)

Memory
-44.5MiB live, 136.0MiB allocated
Pruning

19 alts after pruning (5 fresh and 14 done)

PrunedKeptTotal
New1 01221 014
Fresh033
Picked235
Done01111
Total1 014191 033
Accuracy
100.0%
Counts
1 033 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
66.5%
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))
34.8%
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
39.7%
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
28.4%
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
25.8%
(/.f64 (*.f64 #s(approx (* (+ y x) (- y x)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
90.1%
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
51.0%
(/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
14.8%
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)))
47.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (+.f64 (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64))))
46.9%
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64))))
54.0%
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
15.7%
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)))
15.7%
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)))
16.1%
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)))
3.2%
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x)))
34.5%
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
39.6%
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
Compiler

Compiled 414 to 249 computations (39.9% saved)

regimes23.0ms (0.4%)

Memory
37.0MiB live, 37.0MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)))
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (+.f64 (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)))
(/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x))))
(/.f64 (*.f64 #s(approx (* (+ y x) (- y x)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))) (+.f64 y x))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Calls

3 calls:

8.0ms
x
7.0ms
y
6.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 11 computations (0% saved)

regimes122.0ms (2.1%)

Memory
-35.4MiB live, 42.4MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)))
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))
Outputs
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))
Calls

3 calls:

30.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
5.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
77.7%3x
85.5%3y
98.7%2(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 11 computations (0% saved)

regimes5.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)))
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
Outputs
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))
Calls

1 calls:

4.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
98.6%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)))
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64))))
Outputs
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))
Calls

1 calls:

3.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
87.9%2(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)))
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
Outputs
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
Calls

1 calls:

3.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
85.8%2(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes8.0ms (0.1%)

Memory
-18.2MiB live, 19.8MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)))
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))))
Outputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
Calls

2 calls:

5.0ms
y
3.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
58.9%3y
84.6%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 10 to 9 computations (10% saved)

regimes3.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x)))
Outputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
Calls

1 calls:

2.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
84.4%3(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
Outputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
Calls

2 calls:

2.0ms
x
1.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
64.6%3x
72.4%2(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 10 to 9 computations (10% saved)

regimes4.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
Outputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
Calls

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Results
AccuracySegmentsBranch
39.6%1y
39.6%1x
39.6%1(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.344661620076792e-17
1.578862108709972e-10
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.344661620076792e-17
1.578862108709972e-10
0.0ms
-2.4527152936676335e-5
-1.7257116201393586e-6
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-9.155378175221275e-151
-7.703965246547877e-166
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch3.0ms (0%)

Memory
-41.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
2.0ms
3.344661620076792e-17
1.578862108709972e-10
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.344661620076792e-17
1.578862108709972e-10
0.0ms
-0.9577020062074272
-0.09185847168700988
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.344661620076792e-17
1.578862108709972e-10
0.0ms
-0.9577020062074272
-0.09185847168700988
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch12.0ms (0.2%)

Memory
20.3MiB live, 20.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
-2.449511091479958e-262
6.284452900068954e-251
Samples
4.0ms208×0valid
Compiler

Compiled 64 to 142 computations (-121.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify29.0ms (0.5%)

Memory
-12.0MiB live, 64.4MiB allocated
Algorithm
egg-herbie
Rules
16×+-commutative-binary64-+.f64
12×sub-neg-binary64-neg.f64-+.f64--.f64
10×*-commutative-binary64-*.f64
neg-sub0-binary64--.f64-neg.f64
neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058376
171376
282376
390376
493376
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -7371020360979573/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x)))
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(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -7371020360979573/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -7371020360979573/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))))
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(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
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(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
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(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

soundness581.0ms (10.2%)

Memory
10.4MiB live, 406.2MiB allocated
Rules
12 038×lower-fma.f64
12 038×lower-fma.f32
7 460×lower-fma.f64
7 460×lower-fma.f32
4 472×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04874332
115384010
249873931
083593701
0186985
1571921
21809857
37619851
08589806
Stop Event
fuel
iter limit
node limit
iter limit
node limit
Compiler

Compiled 277 to 138 computations (50.2% saved)

preprocess73.0ms (1.3%)

Memory
8.1MiB live, 119.3MiB allocated
Compiler

Compiled 466 to 134 computations (71.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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